Woodja51
As a long-haul heavy driver, I too have this notion. From experience, knowing the experience of the relief crew operating the airplane while I am "down the back", I "rest" very uneasily.
It is not about hours on type, it is about EXPERIENCE. Typically, a long-haul FO or SFO with about 5,000 hours, has, if all he/she has been flying is long-haul, about 10-15% of total time as experience. The other 85-90% is either sleeping "down the back", or watching the AP do the hard stuff.
The expression "clutched defeat from the jaws of victory" comes to mind (along with "if it ain't itchy, don't scratch it").
Time for the Kevlar flack jack.